SOLUTION: Which side lengths do NOT represent a 30° -60° -90° triangle? A. 1/2, √3/2, 1 B. √2, √6, 2 √2 C. 5/2, 5 √3/2, 10 D. 3, 3 √3, 6

Question 1174782: Which side lengths do NOT represent a 30° -60° -90° triangle?
A. 1/2, √3/2, 1
B. √2, √6, 2 √2
C. 5/2, 5 √3/2, 10
D. 3, 3 √3, 6
Answer by ikleyn(53763) (Show Source): You can put this solution on YOUR website!
.

The necessary and sufficient condition for the line TO REPRESENT a (30°,60°,90°) triangle is THIS:

    1)  The  longest side is twice the shortest side,

and


   2)  The square of the longest side is equal to the sum of the squares of two other sides.

So, for each optional line check these two conditions.

Where you find these conditions 1) and 2) DISSATISFIED (or at least ONE dissatisfied),
that line DOES NOT represent (30°,60°,90°) triangle.

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